4578560 has 108 divisors (see below), whose sum is σ = 12932388. Its totient is φ = 1548288.

The previous prime is 4578547. The next prime is 4578569. The reversal of 4578560 is 658754.

It can be written as a sum of positive squares in 2 ways, for example, as 2119936 + 2458624 = 1456^2 + 1568^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4578560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4578569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62684 + ... + 62756.

Almost surely, 2^4578560 is an apocalyptic number.

4578560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466194).

4578560 is an abundant number, since it is smaller than the sum of its proper divisors (8353828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4578560 is an equidigital number, since it uses as much as digits as its factorization.

4578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 4578560 is about 2139.7569955488. The cubic root of 4578560 is about 166.0515637946.

4578560 divided by its sum of digits (35) gives a triangular number (130816 = T₅₁₁).

The spelling of 4578560 in words is "four million, five hundred seventy-eight thousand, five hundred sixty".